113412000 has 192 divisors, whose sum is σ = 400667904. Its totient is φ = 27878400.

The previous prime is 113411989. The next prime is 113412001. The reversal of 113412000 is 214311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (113412001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155637 + ... + 156363.

It is an arithmetic number, because the mean of its divisors is an integer number (2086812).

Almost surely, 2^113412000 is an apocalyptic number.

113412000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200333952).

113412000 is an abundant number, since it is smaller than the sum of its proper divisors (287255904).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

113412000 is a wasteful number, since it uses less digits than its factorization.

113412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 113412000 is about 10649.5070308442. The cubic root of 113412000 is about 484.0456665242.

Adding to 113412000 its reverse (214311), we get a palindrome (113626311).

The spelling of 113412000 in words is "one hundred thirteen million, four hundred twelve thousand".